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Finding the Fourth Proportional to 3,104.43, 4,658.99 and 1,643.91

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Solution

The fourth proportional to 3,104.43, 4,658.99 and 1,643.91 is: 2,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.43 : 4,658.99 = 1,643.91 : x
  2. Step 2: Convert to fraction form
    3,104.43/4,658.99 = 1,643.91/x
  3. Step 3: Cross multiply
    3,104.43x = 4,658.99 × 1,643.91
  4. Step 4: Simplify right side
    3,104.43x = 7,658,952.03
  5. Step 5: Solve for x
    x = 7,658,952.03/3,104.43
  6. Step 6: Final answer
    x = 2,467.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.